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Dr. Haluk Sesigür I.T.U. Faculty of Architecture Structural and Earthquake Engineering WG Yapı Statiği Statics Structural Systems , Supports

Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

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Page 1: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Dr. Haluk SesigürI.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Yapı Statiği

Statics

Structural Systems, Supports

Page 2: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reactions and free-body (or equilibrium) diagrams.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 3: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Types of support conditions: idealized models.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 4: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Nonrigid and rigid structures.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 5: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Types of structural elements.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 6: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Types of structural elements.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 7: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Types of structural elements.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 8: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Typical structural units.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 9: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reference: Structures, Daniel Schodek, Martin Bechthold.

Typical structural units.

Page 10: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Dominant stress states: bending, shear, and axial forces and stresses in common structural

forms under primary loadings.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 11: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 12: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 13: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 14: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 15: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 16: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 17: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 18: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 19: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 20: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 21: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 22: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reactions for a simple beam (basit kiriş) with vertical loads.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Roller support

(hareketli mesnet)

pin support (sabit mesnet)

Page 23: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reactions for a cantilevering (overhang) beam / çıkmalı kiriş loaded with a point load.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Roller support (hareketli mesnet)

pin support (sabit mesnet)

Page 24: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reactions for a cantilevering (overhang) beam loaded with two point loads.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Roller support (hareketli mesnet)

pin support (sabit mesnet)

Page 25: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reactions for an L-shaped beam with horizontal and vertical point loads.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 26: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Beam with roller resting on a sloped support.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Simply supported beam (basit kiriş)

Page 27: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Reaction for a truss-like structure.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 28: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Fixed-end moments.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Cantilever (konsol kiriş)

Page 29: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Determination of the loading model for a cable-supported structure. The analysis is simplified and

based on several assumptions.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 30: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

Cable-supported structure.

Reference: Structures, Daniel Schodek, Martin Bechthold.

Page 31: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 32: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 33: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 34: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 35: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 36: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

LOAD SYSTEMS

Uniform distributed load (düzgün yayılı yük)

Page 37: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Point load (tekil yük)

Page 38: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 39: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Page 40: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Resultant Force (Bileşke kuvvet)

Page 41: Yapı Statiği - İTÜweb.itu.edu.tr/~haluk/statics/statics_week3.pdf · Reactions and free-body (or equilibrium) diagrams. Reference: Structures, Daniel Schodek, Martin Bechthold

I.T.U. Faculty of ArchitectureStructural and Earthquake Engineering WG

Ref.Book:Statics and Strength of Materials for Architecture and Building Construction

Resultant Force (Bileşke kuvvet)Resultant Force (Bileşke kuvvet)